Sure, let's solve this step-by-step.
We are given that [tex]\( 42\% \)[/tex] of a number [tex]\( N \)[/tex] is 8.4. We need to find the value of [tex]\( N \)[/tex].
1. Understand the percentage relation given:
[tex]\[
42\% \text{ of } N = 8.4
\][/tex]
2. Convert the percentage to a decimal:
[tex]\( 42\% \)[/tex] is [tex]\( 0.42 \)[/tex] in decimal form.
3. Set up the equation:
[tex]\[
0.42 \times N = 8.4
\][/tex]
4. Solve for [tex]\( N \)[/tex]:
To find [tex]\( N \)[/tex], we need to divide both sides of the equation by [tex]\( 0.42 \)[/tex]:
[tex]\[
N = \frac{8.4}{0.42}
\][/tex]
5. Perform the division:
[tex]\[
N = 20
\][/tex]
Therefore, the value of [tex]\( N \)[/tex] is [tex]\(\boxed{20}\)[/tex].
